Latest Questions, General Mathematics

Question: The population of a village is` 4500 5/9` th of them are males and rest females. If 40% of the males are married, then the percentage of married females is :
A
35

B
40

C
50

D
60

Note: Males` = (5/9 xx 4500)` `= 2500,` Females = 2000 Married males` = 40/(100) xx 2500 = 1000` Married females` = 1000` :. Percentage of married females `= ((1000)/(2000) xx 100)` `= 50%`
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Question: A,s income is 10% more than B,s. How much percent is B,s income less than A,s ?
A
`10%`

B
`7%`

C
`9 1/(11) %`

D
`6 1/2 %`

Note: Required percentage` = 10/((100 + 10)) xx 1000` `= 9 1/11 %`
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Question: A mixture of 40 litres of milk and water contains 10% water. How much water must be added to make water 20% in the new mixture ?
A
10 litres

B
7 litres

C
5 litres

D
3 litres

Note: Milk` = 90/(100) xx 40 = 36`litres, water = 4 litres. Let x litres of water be added. Then `((x + 4))/(41 + x) xx 100` `= 20 => (x + 4)/(40 + x)` `= 1/5` `:. 5x + 20 = 40 + x => x = 5.`
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Question: If` z = x^2/y` and x , y both are increased in value by 10% then the value of z is :
A
unchanged

B
increased by 10%

C
increased by 11%

D
increased by 20%

Note: `z = x^2/y` New value of ` z =(((110)/(100) x)^2)/(((110)/(100) y))` `= (11 x^2)/(100) y` `= (11)/(10) z` :. Increase % `= (((11)/(10) z - z))/(z) xx 10` `= 10%`
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Question: If` a exceeds b by x%, then which one of these equations is correct ?
A
`c - b = x/(100)`

B
`b = a + 100 x`

C
`a = (bx)/(100 + x)`

D
`a = b + (bx)/(100)`

Note: `b + (bx)/(100) = a`
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Question: In an examination, 35% of the examinees failed in G.K and 25% in English. If 10% of the examinees failed in both, then the percentage of examinees passed will be :
A
`40%`

B
`45%`

C
`48%`

D
`50%`

Note: Not available
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Question: If the price of a television set is increased by 25%, then by what percentage should the new price be reduced to bring the price back to the original level ?
A
15%

B
20%

C
25%

D
30%

Note: Let original price be Rs. x. New price` = (125)/(100) xx x` `= (5x)/4` Reduction on` = ((5x)/4 - x)` `= x/4` Reduction on` 100 = (x/4 xx 4/(5x) xx 100)` `= 20%`
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Question: The number of grams of water needed to reduce 9 grams of shaving lotion containing 50% alcohol to a lotion containing 30% alcohol, is :
A
4

B
5

C
6

D
7

Note: Alcohol in 9 gms` = (50/(100) xx 9)` `= 4.5 gms.` Let x gm of water be added. Then, `(4.5)/(0 + x) xx 100` `= 30 => 270 + 30x = 450 => x = 6 gms.`
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Question: A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is :
A
4%

B
6%

C
10%

D
12%

Note: Let C.P be Rs. 100. Then, M.P = Rs. 120 Also, S.P = Rs. 108 Discount on 120 = Rs. (120 - 108) Rs. = 12 Discount on `100 = ((12)/(120) xx 100)` `= 10%`
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Question: BY selling an umbrella for Rs. 30, a shopkeeper gains 20% During a clearance sale the shopkeeper allows a discount of 10% of the marked price his gain percent during the sale season is :
A
7

B
7.5

C
8

D
9

Note: C.P` = ((100)/(120) xx 30)` `= 25,` S.P. = 90% of 30 = Rs. 27 Gain `% = (2/(25) xx 100) = 8%`
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Question: The population of a village is` 4500 5/9` th of them are males and rest females. If 40% of the males are married, then the percentage of married females is :

Question: A,s income is 10% more than B,s. How much percent is B,s income less than A,s ?

Question: A mixture of 40 litres of milk and water contains 10% water. How much water must be added to make water 20% in the new mixture ?

Question: If` z = x^2/y` and x , y both are increased in value by 10% then the value of z is :

Question: If` a exceeds b by x%, then which one of these equations is correct ?

Question: In an examination, 35% of the examinees failed in G.K and 25% in English. If 10% of the examinees failed in both, then the percentage of examinees passed will be :

Question: If the price of a television set is increased by 25%, then by what percentage should the new price be reduced to bring the price back to the original level ?

Question: The number of grams of water needed to reduce 9 grams of shaving lotion containing 50% alcohol to a lotion containing 30% alcohol, is :

Question: A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is :

Question: BY selling an umbrella for Rs. 30, a shopkeeper gains 20% During a clearance sale the shopkeeper allows a discount of 10% of the marked price his gain percent during the sale season is :